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Delayed Feedback Control and Bifurcation Analysis of an Autonomy System

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  • Zhen Wang
  • Huitao Zhao
  • Xiangyu Kong

Abstract

An autonomy system with time-delayed feedback is studied by using the theory of functional differential equation and Hassard’s method; the conditions on which zero equilibrium exists and Hopf bifurcation occurs are given, the qualities of the Hopf bifurcation are also studied. Finally, several numerical simulations are given; which indicate that when the delay passes through certain critical values, chaotic oscillation is converted into a stable state or a stable periodic orbit.

Suggested Citation

  • Zhen Wang & Huitao Zhao & Xiangyu Kong, 2013. "Delayed Feedback Control and Bifurcation Analysis of an Autonomy System," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, April.
    • Handle: RePEc:hin:jnlaaa:167065
    DOI: 10.1155/2013/167065
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